Question

The difference of two numbers is 642 . When the greater numbers is divided by the smaller number, the quotient is 8 and the reminder is 19 . Find the numbers

Answer 1

Let x be the greater no. and y be the smaller no.

x-y=642

x=642+y

x= 8y+19

642+y=8y +19

8y-y= 642-19

7y =623

y=623÷7=89

So y = 89 and x-y = 642

x-89= 642

x= 642+89= 731

So the no.s are 89 and 731.

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